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Finding the Fourth Proportional to 2,521.30, 3,781.41 and 788.98

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Solution

The fourth proportional to 2,521.30, 3,781.41 and 788.98 is: 1,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.30 : 3,781.41 = 788.98 : x
  2. Step 2: Convert to fraction form
    2,521.30/3,781.41 = 788.98/x
  3. Step 3: Cross multiply
    2,521.30x = 3,781.41 × 788.98
  4. Step 4: Simplify right side
    2,521.30x = 2,983,456.86
  5. Step 5: Solve for x
    x = 2,983,456.86/2,521.30
  6. Step 6: Final answer
    x = 1,183.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.